1.
=

A. -1

B. 0

C. 1

D. 2

E.

solution

 

2.

A.

B. 0

C. 1/2

D. 1

E.

solution

 

3.

A. -1/2

B. 0

C. 1/2

D. 1/2

E.

solution

 

4. The following functions are defined for all values of x except x = 0. Which function can be defined at x = 0 so that the function is continuous at x = 0?

A. sin(1/x)

B. cos(1/x)

C. x/x2

D. (tan x)/x

E. (x2)1/2/x

solution

 

5. Let f(x) = sin(x)/x for x not equal to zero, and f(0) = 1. What is f"(0)?

A. -2/3

B. -1/3

C. 0

D. 1/2

E. Does not exist

solution

 

6.

A. 0

B. 1

C. 27

D. 27 ln 3

E. 27 e3

solution

 

7.

A.

B.

C.

D.

E.

solution

 

8.

A.

B.

C.

D.

E.

solution

 

9.

A.

B.

C.

D.

E.

solution

 

10. If

Then

A.

B.

C.

D.

E.

solution

 

11.

A.

B.

C.

D.

E.

solution

 

12. Which expression below is equal to

A.

B.

C.

D.

 

E.

solution